Application of Perov type fixed point results to complex partial differential equations.

In this paper, we characterize a new generalization of Perov fixed point result via Λ‐admissibility and Ψ‐contractivity on vector‐valued metric space and provide a comparative example. Then we investigate the existence of solution of a complex partial differential equation of the form, ∂z¯w=Fz,w,∂zw,via obtained new fixed point results under suitable conditions. [ABSTRACT FROM AUTHOR]